Just my way of looking at it and I can see valid points both ways (garbage, tradition, and so on) but...If it's a new project you're putting up, leave the draws if you want but consider that just because someone climbs doesn't mean they're a part of the climbing community - don't be too surprised if the draws aren't there later. If it's an established route, take em down so others can climb it without having to remove them first or trust that they're in ok codition. Leaving your draws hanging on an established route is no different that leaving a TR hanging at a busy crag while you eat lunch. Don't assume that just because you can't get it done, noone else would want to give it a try.
If you want to climb a route with draws hanging, remove them and leave em laying as your own morality dictates then screw anyone who gets pissed about it.
If you take the draws though....you deserve whatever bad Karma you get.
As I said, just my own set of operaing instructions. Different instructions may yield the same results in the end
As for the original post...that blows. Hope you find your draws.